A Q-Operator Identity for the Correlation Functions of the Infinite XXZ Spin-Chain

Abstract

An explicit construction for Q-operators of the finite XXZ spin-chain with twisted boundary conditions is presented. The massless and the massive regime is considered as well as the root of unity case. It is explained how these results yield an alternative expression for the trace function employed in the description of the correlation functions of the inhomogeneous XXZ model on the infinite lattice by Boos, Jimbo, Miwa, Smirnov and Takeyama(hep-th/0412191).

19 pages, conclusions added

References in corpus (6)

• Integral representations for correlation functions of the XXZ chain at finite temperature
• Traces on the Sklyanin algebra and correlation functions of the eight-vertex model
• Auxiliary matrices on both sides of the equator
• Solving Baxter's TQ-equation via representation theory
• New formulae for solutions of quantum Knizhnik-Zamolodchikov equations on level -4 and correlation functions
• Root of unity symmetries in the 8 and 6 vertex models

Cited by in corpus (24)

• The ODE/IM Correspondence
• Antiperiodic spin-1/2 XXZ quantum chains by separation of variables: Complete spectrum and form factors
• Functional relations from the Yang-Baxter algebra: Eigenvalues of the XXZ model with non-diagonal twisted and open boundary conditions
• String-charge duality in integrable lattice models
• Solutions of the T-system and Baxter equations for supersymmetric spin chains
• Baxter's Q-operators and operatorial Backlund flow for quantum (super)-spin chains
• Cylindric versions of specialised Macdonald functions and a deformed Verlinde algebra
• Classical tau-function for quantum spin chains
• Traces on the Sklyanin algebra and correlation functions of the eight-vertex model
• $T$-$Q$ relation and exact solution for the XYZ chain with general nondiagonal boundary terms
• Baxter Q-operator from quantum K-theory
• Onsager symmetries in $U(1)$-invariant clock models
• Analytic theory of the eight-vertex model
• Universal R-matrix and functional relations
• Baxter operators with deformed symmetry
• A Q-operator for the twisted XXX model
• Baxter Q-operators of the XXZ chain and R-matrix factorization
• Conjectures on Hidden Onsager Algebra Symmetries in Interacting Quantum Lattice Models
• A Q-operator for open spin chains I: Baxter's TQ relation
• Universal Baxter TQ-relations for open boundary quantum integrable systems
• A Q-operator for the quantum transfer matrix
• Extended T-systems, Q matrices and T-Q relations for $s\ell (2)$ models at roots of unity
• Integrable systems and AdS/CFT duality
• On the Q operator and the spectrum of the XXZ model at root of unity